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Advanced Mathematics

Statistics, Advanced Placement - 2570

Grades 10-12

Two Trimesters

Prerequisite(s): Algebra II

(May be taken concurrently with Pre-Calculus/Trigonometry, Calculus, or alone.) This course prepares students to take the AP Statistics exam for college credit. It is built around four main topics: exploring data, planning a study, probability as it relates to distributions of data, and inferential reasoning. Specific topics in AP Statistics include interpreting graphic displays, comparing and summarizing distributions of univariate data, exploring bivariate data and categorical data, random sampling, conducting experiments, probability as relative frequency, combining independent random variables, use of the normal t-distributions, simulating sampling distributions, confidence intervals and significance tests.

Advanced Mathematics, College Credit [Finite] - 2544

Grades 10-12

Two Trimesters

Prerequisite(s): Algebra II

The above title is the transcript name for our Finite Mathematics course (which is the same as IU's M118 Finite Math course). Finite Mathematics assumes the student is able to work accurately with fractions and decimals, to graph linear equations, and to solve two linear equations in two unknowns. The course discusses set theory, techniques of counting, probability, linear systems, matrices, and linear programming. It also includes applications to business and the social sciences. Students who plan to take Calculus at any point in their high school or college careers should enroll in Pre-Calculus rather than this course. However, Finite Mathematics may be taken concurrently with their Pre-Calculus or Calculus. This course may be taken for IU credit (3 his., M118) in ACP program, or for high school credit alone.

Pre-Calculus/Trigonometry - 2564

Grades 10-12

Two Trimesters

Prerequisite(s): Algebra II

This course is usually selected by those students who have a high ability and a definite interest in mathematics. In this course the student utilizes extensively the concepts, notation, and techniques from his/her previous courses in algebra and geometry. These are extended and expanded in the study of the following topics: real and complex number systems, functions, polynomials, exponential and logarithms, polar coordinates, and trigonometry (the trig is a complete and detailed study of the topic equivalent to approximately one trimester of work.

Calculus AB, Advanced Placement - 2562

Grades 10-12

Two Trimesters

Prerequisite(s): Pre-Calculus/Trigonometry

AP credit available with the AP exam in May and IU M211 credit is available for students who qualify in August on the IU Math Skills Assessment and pay for 4 credit hours at IU. This course is taken during the first two trimesters, to be followed by optional but recommended third trimester Advanced Calculus AP. This is a rigorous course which partially covers as much of the College Board’s AB level AP Calculus curriculum as can be done in two trimesters. (To cover the entire AP curriculum or the IU M211 curriculum, students should also enroll in the optional 3rd trimester of MATH - Advanced Calculus AP MA920 (see the next course)). The first two trimesters partially prepare students for the AB level AP Calculus exam in May. While not a requirement, all students are expected to take this exam. Students who want IU credit must take the third trimester course (see course below) Students taking this course must have finished their Trig/Pre-Calc course (no exceptions.) This topics include the theory, algorithm processes, and when and how to use limits, derivatives, applications of derivatives (graphing, related rate, max-mi), integration (including the Fundamental Theorem of Calculus, and applications of integration.

Calculus AB, Advanced Placement [Advanced Calculus] - 25623

Grades 10-12

One Trimester

Prerequisite(s): The first two trimesters of Calculus AB

Advanced Placement. This is an optional third trimester. This continues the AP Calculus Curriculum and M211 curriculum and leads to the AP exam in May and the IU M211 Final Exam.

Calculus BC, Advanced Placement - 2572

Grades 11-12

Two Trimesters

Prerequisite(s): All three trimesters of Calculus AB, Advanced Placement

This is the second year/AP Calculus course. AP BC level Calculus 3-4 prepares the students for the AP Calculus BC level exam in May. Students are responsible for the topics learned in the first year course. New topics covered are more advanced methods of integration (integration by parts, partial fractions, and trig substitutions, and improper integrals), differential equations (slope fields, Euler’s method, the logistic curve); parametric and polar functions in the context of calculus, and infinite sequences and series, power series, and vectors.